Skip to main content

On the E-Probability on IF-Events

  • Conference paper
Fuzzy Logic and Applications (WILF 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5571))

Included in the following conference series:

  • 894 Accesses

Abstract

Following [2] some properties of E-probability and E-states are studied. The existence of the joint observable and the central limit theorem are proved.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Physica Verlag, New York (1999)

    Book  MATH  Google Scholar 

  2. Atanassov, K.: Riečan, B.: On two new types of probability on IF-events. In: Proc.of the First International Workshop on Intuitionistic Fuzzy Sets, Generalized Nets and Knowledge Engineering, Warsawa (2007)

    Google Scholar 

  3. Čunderlḱová - Lendelová, K., Riečan, B.: The probability theory on B-structures, pp. 355–383. EXIT, Warsawa (2008)

    Google Scholar 

  4. Gerstenkorn, T., Manko, J.: Probabilities of intuitionistic fuzzy events. In: Hrzniewicz, O., et al. (eds.) Issues in Inteligent Systems: Paradigms, pp. 63–58. EXIT, Warsawa

    Google Scholar 

  5. Grzegorzewski, P., Mrowka, E.: Probability of intuitionistic fuzzy events. In: Grzegorzewski, P., et al. (eds.) Soft Methods in Probablity, Statistics and Data Analysis, pp. 105–115. Physica Verlag, New York (2002)

    Chapter  Google Scholar 

  6. Lendelová, K.: Strong law of large numbers for IF-events. In: Proc. Eleventh Int. Conf. IPMU, Paris, pp. 2363–2366 (2006)

    Google Scholar 

  7. Renčová, M., Riečan, B.: Probability on IF - sets: an elementary approach. In: First International Workshop on Intuitionistic Fuzzy Sets, Generalized Nets and Knowledge Engineering, pp. 8–17. University of Westminster, London (2006)

    Google Scholar 

  8. Renčová, M.: On the ϕ−probability and ϕ−observables. Submitted to Fuzzy Sets and Systems (2008)

    Google Scholar 

  9. Riečan, B.: General form of M-probabilities on IF-events. In: Proc. of IPMU, Spain, pp. 1675–1677 (2008)

    Google Scholar 

  10. Riečan, B.: On a problem of Radko Mesiar: general form of IF probabilities. Fuzzy Sets and Systems 152, 1485–1490 (2006)

    MathSciNet  MATH  Google Scholar 

  11. Riečan, B.: Probability theory on intuitionistic fuzzy sets. In: Aguzzoli, S., Ciabattoni, A., Gerla, B., Manara, C., Marra, V. (eds.) ManyVal 2006. LNCS, vol. 4460. Springer, Heidelberg (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Renčová, M. (2009). On the E-Probability on IF-Events. In: Di Gesù, V., Pal, S.K., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2009. Lecture Notes in Computer Science(), vol 5571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02282-1_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02282-1_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02281-4

  • Online ISBN: 978-3-642-02282-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics